An iterative algorithm for solving the generalized Sylvester-conjugate matrix equation
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Applied Mathematics and Computing"
DOI: 10.1007/s12190-017-1156-6
Abstract: This paper aims to extend the conjugate gradient least squares method to solve the least squares problem of the generalized Sylvester-conjugate matrix equation. For any initial values, the proposed iterative method can obtain the least… read more here.
Keywords: conjugate matrix; algorithm; iterative algorithm; matrix equation ... See more keywords
Backward error and condition number of a generalized Sylvester equation, with application to the stochastic Galerkin method
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DOI: 10.1016/j.laa.2020.02.018
Abstract: The governing equation of the stochastic Galerkin method can be formulated as a generalized Sylvester equation. Therefore, developing solvers for it is attracting a lot of attention from the uncertainty quantification community. In this regard… read more here.
Keywords: backward error; generalized sylvester; stochastic galerkin; equation ... See more keywords
Modified Jacobi-Gradient Iterative Method for Generalized Sylvester Matrix Equation
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DOI: 10.3390/sym12111831
Abstract: We propose a new iterative method for solving a generalized Sylvester matrix equation A1XA2+A3XA4=E with given square matrices A1,A2,A3,A4 and an unknown rectangular matrix X. The method aims to construct a sequence of approximated solutions… read more here.
Keywords: iterative method; matrix equation; matrix; method ... See more keywords
Conjugate Gradient Algorithm for Least-Squares Solutions of a Generalized Sylvester-Transpose Matrix Equation
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DOI: 10.3390/sym14091868
Abstract: We derive a conjugate-gradient type algorithm to produce approximate least-squares (LS) solutions for an inconsistent generalized Sylvester-transpose matrix equation. The algorithm is always applicable for any given initial matrix and will arrive at an LS… read more here.
Keywords: squares solutions; conjugate gradient; algorithm; matrix equation ... See more keywords